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Finding the Fourth Proportional to 276.47, 381.64 and 188.41

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Solution

The fourth proportional to 276.47, 381.64 and 188.41 is: 260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 381.64 = 188.41 : x
  2. Step 2: Convert to fraction form
    276.47/381.64 = 188.41/x
  3. Step 3: Cross multiply
    276.47x = 381.64 × 188.41
  4. Step 4: Simplify right side
    276.47x = 71,904.79
  5. Step 5: Solve for x
    x = 71,904.79/276.47
  6. Step 6: Final answer
    x = 260.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.